SOLUTION: three times a first number is decreased by a second number is 1. the first number increased by twice the second number is 12. what are the numbers?

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Question 335088: three times a first number is decreased by a second number is 1. the first number increased by twice the second number is 12. what are the numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first number be A, second number B.
.
.
.
"three times a first number is decreased by a second number is 1"
1.3A-B=1
.
.
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"the first number increased by twice the second number is 12"
2.A%2B2B=12
From eq. 1,
3A-B=1
B=3A-1
Substitute into eq. 2 for B.
A%2B2B=12
A%2B2%283A-1%29=12
A%2B6A-2=12
7A=14
highlight%28A=2%29
Now go back and solve for B.
B=3A-1
B=3%282%29-1
B=6-1
highlight%28B=5%29